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Finding the Fourth Proportional to 8,265.20, 12,331.02 and 7,804.40

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Solution

The fourth proportional to 8,265.20, 12,331.02 and 7,804.40 is: 11,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.20 : 12,331.02 = 7,804.40 : x
  2. Step 2: Convert to fraction form
    8,265.20/12,331.02 = 7,804.40/x
  3. Step 3: Cross multiply
    8,265.20x = 12,331.02 × 7,804.40
  4. Step 4: Simplify right side
    8,265.20x = 96,236,212.49
  5. Step 5: Solve for x
    x = 96,236,212.49/8,265.20
  6. Step 6: Final answer
    x = 11,643.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.